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[1] Understanding the Sunâ€™s magnetic activity is important because of its impact on the Earthâ€™s environment. The sunspot record since 1610 shows irregular 11-year cycles of activity; they areâ€¦ (More)

Stellar dynamos are governed by non-linear partial differential equations (PDEs) which admit solutions with dipole, quadrupole or mixed symmetry (i.e. with different parities). These PDEs possessâ€¦ (More)

This Letter discusses the role of a weak toroidal magnetic field in modifying the turbulent transport properties of stably stratified rotating turbulence in the tachocline. A local two-dimensionalâ€¦ (More)

- Steven M. Tobias
- 1996

Two mechanisms for producing modulation of the basic eleven year solar cycle are included in a nonlinear Î±Ï‰ dynamo model. In the first, the modulation of the toroidal magnetic field energy isâ€¦ (More)

We discuss the difficulties of predicting the solar cycle using mean-field models. Here we argue that these difficulties arise owing to the significant modulation of the solar activity cycle, andâ€¦ (More)

Dynamics of linear and nonlinear waves in driven dissipative systems in finite domains are considered. In many cases (for example, due to rotation) the waves travel preferentially in one direction.â€¦ (More)

- J B Marston, Gregory P. Chini, Steven M. Tobias
- Physical review letters
- 2016

Quasilinear theory is often utilized to approximate the dynamics of fluids exhibiting significant interactions between mean flows and eddies. We present a generalization of quasilinear theory toâ€¦ (More)

- Steven M. Tobias, J B Marston
- Physical review letters
- 2013

We present direct statistical simulation of jet formation on a Î² plane, solving for the statistics of a fluid flow via an expansion in cumulants. Here we compare an expansion truncated at secondâ€¦ (More)

- John H. Thomas, Nigel O. Weiss, Steven M. Tobias, Nicholas H. Brummell
- Nature
- 2002

The structure of a sunspot is determined by the local interaction between magnetic fields and convection near the Sun's surface. The dark central umbra is surrounded by a filamentary penumbra, whoseâ€¦ (More)

The presence of the equator and poles has a profound effect on the critical dynamo numberDf for the onset of dynamo waves and their subsequent nonlinear evolution. The instability threshold isâ€¦ (More)